My question is, does anyone have any resources for computing the eigenvectors of large matrices given the eigenvalues? It seems pretty straightforward for small (2x2, 3x3) matrices, but I need to be able to compute it for very large matrices. I'm just looking for somewhere to get started. Most sites that I have seen just discuss how to calculate the small matrix version and then say it is possible to do for large matrices, but you have to resort to a numerical approach(which is fine, but I can't find a lot of information on numerical approaches, other than the power method which only yields the dominant vector).

Thanks in advance

Joe